Let `f(x)=x^2a n dg(x)=sinxfora l lx in Rdot` Then the set of all `x` satisfying `(fogogof)(x)=(gogof)(x),w h e r e(fog)(x)=f(g(x)),` is `+-sqrt(npi),n in {0,1,2, dot}` `+-sqrt(npi),n in {1,2, dot}` `pi/2+2npi,n in { ,-2,-1,0,1,2}` `2npi,n in { ,-2,-1,0,1,2, }`

Explanation

`f(x)=x^2`

`g(x)=sinx`

`g(f(x))=sin(f(x))`

`g@f=sinx^2`

`g(g@f)=sin(g@f)`

`=sin(sinx^2)`

`f(ggf)=(ggf)^2`

`=[sin(sinx^2)]^2`

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